10094813200 has 30 divisors (see below), whose sum is σ = 24252789674. Its totient is φ = 4037925120.

The previous prime is 10094813167. The next prime is 10094813207. The reversal of 10094813200 is 231849001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2590402816 + 7504410384 = 50896^2 + 86628^2 .

It is not an unprimeable number, because it can be changed into a prime (10094813207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12618117 + ... + 12618916.

Almost surely, 2^10094813200 is an apocalyptic number.

10094813200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10094813200 is an abundant number, since it is smaller than the sum of its proper divisors (14157976474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10094813200 is a wasteful number, since it uses less digits than its factorization.

10094813200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25237051 (or 25237040 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 10094813200 in words is "ten billion, ninety-four million, eight hundred thirteen thousand, two hundred".